number system Model Questions & Answers, Practice Test for ssc cgl tier 1 2023

ssc cgl tier 1 2023 SYLLABUS WISE SUBJECTS MCQs

Number System

Ratio Proportion & Partnership

Averages

Percentages

Profit & Loss

Time & Work

Time & Distance

Simple Interest & Compound Interest

Mensuration: Area & Volumes

Algebraic Expressions

Linear Equations

Squareroots & Cuberoots

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Question :6

The number of three digit numbers (all digits are different) which are divisible by 7 and also divisible by 7 on reversing the order of the digits, is

Answer: (b)

100x + 10y + z is divisible by 7.

100z + 10y + x is divisible by 7.

on solving above two equation

(99x – 99z) is divisible by 7.

x – z is divisible by 7.

four possible numbers. are

8 y 1 or 1 y 8 and 9 y 2 or 2 y 9

Question :7

Let S be a set of first fourteen natural numbers. The possible number of pairs (a, b), where a, b, S and a, b such that ab leaves remainder 1 when divided by 15, is

Answer: (d)

Here S be a set of 14 Natural Numbers

i.e. {1, 2, 3, 4, 5. ---- 14}

Possible no. of pairs.

{a, b} is {(2, 8), (7, 13)}

⇒ Pairs = 2

⇒ Option (d) is correct.

Question :8

What is 184 times 156?

Answer: (c)

Required product = 184 × 156 = 28704

Question :9

Find the least number which when divided by 12, leaves a remainder 7, when divided by 15, leaves a remainder 10 and when divided by 16, leaves a remainder 11

Answer: (b)

12 –7 = 5, 15 – 10 = 5 and 16 – 11 = 5

Hence the desired number is 5 short for divisibility by 12, 15 and 16.

L.C.M. of 12, 15, 16 is 240

Hence the least number = 240 – 5 = 235

Question :10

Which of the following statements are true: (i) The rational number $29/23$ lies to the left of zero on the number line. (ii) The rational number ${- 12}/{- 17}$ lies to the right of zero on the number line. (iii) The rational numbers ${- 12}/5$ and ${- 7}/17$ are on the opposite side of zero on the number line. (v) The rational numbers ${- 21}/5$ and $7/{-31}$ are on the opposite side of zero on the number line.

Answer: (a)

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ssc cgl tier 1 2023 IMPORTANT QUESTION AND ANSWERS
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